4400 Higher June 2004 Paper 4 Q20
20
Diagram NOT accurately drawn
The diagram shows a solid cone.
The radius of its base is 3.7 cm and the slant height is 8.3 cm.
(a) Calculate the total surface area of the cone.
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
(b) Calculate the volume of the cone.
Give your answer correct to 3 significant figures. (4)
Give your answer correct to 3 significant figures. (4)
| Scheme | Marks |
|---|---|
| \(\pi \times 3.7^2 + \pi \times 3.7 \times 8.3\) | M1 |
| 139 to 140 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(8.3^2 - 3.7^2\) or 55.2 | M1 |
| \(\sqrt{\text{"55.2"}}\) or 7.4296… | M1 |
| \(\frac{1}{3}\pi \times 3.7^2 \times \text{"7.43"}\) | M1 |
| 107 | A1 |
| (4) | |
| (6 marks) |
Notes
M1: dep on 1st M1
A1: for 107 or better (106.512…)